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Finding the Third Proportional to 193,374 and 419,008

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Solution

The third proportional to 193,374 and 419,008 is: 907,917.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,374 : 419,008 = 419,008 : x
  2. Step 2: Convert to fraction form
    193,374/419,008 = 419,008/x
  3. Step 3: Cross multiply
    193,374x = 419,008 × 419,008
  4. Step 4: Simplify right side
    193,374x = 175,567,704,064
  5. Step 5: Solve for x
    x = 175,567,704,064/193,374
  6. Step 6: Final answer
    x = 907,917.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.